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642644460240 = 243511971223681
BaseRepresentation
bin10010101101000001001…
…10000100001011010000
32021102202222221002110120
421112200212010023100
541012113440211430
61211120553030240
764300220532306
oct11264046041320
92242688832416
10642644460240
112285a9053772
12a46703b5380
13487a784b733
1423165b48276
1511ab3ab8610
hex95a09842d0

642644460240 has 80 divisors (see below), whose sum is σ = 1992373152576. Its totient is φ = 171356774400.

The previous prime is 642644460197. The next prime is 642644460259. The reversal of 642644460240 is 42064446246.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 642644460192 and 642644460201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2761200 + ... + 2984880.

Almost surely, 2642644460240 is an apocalyptic number.

642644460240 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

642644460240 is an abundant number, since it is smaller than the sum of its proper divisors (1349728692336).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

642644460240 is a wasteful number, since it uses less digits than its factorization.

642644460240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235668 (or 235662 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 42.

The spelling of 642644460240 in words is "six hundred forty-two billion, six hundred forty-four million, four hundred sixty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 11971 23942 35913 47884 59855 71826 95768 119710 143652 179565 191536 223681 239420 287304 359130 447362 478840 574608 671043 718260 894724 957680 1118405 1342086 1436520 1789448 2236810 2684172 2873040 3355215 3578896 4473620 5368344 6710430 8947240 10736688 13420860 17894480 26841720 53683440 2677685251 5355370502 8033055753 10710741004 13388426255 16066111506 21421482008 26776852510 32132223012 40165278765 42842964016 53553705020 64264446024 80330557530 107107410040 128528892048 160661115060 214214820080 321322230120 642644460240